Year 4 Relationship between the 3 and 9 times tables worksheet

“The 3 and 9 times tables” is free to print, with no account. It is the first sheet in the Year 4 maths unit “Relationship between the 3 and 9 times tables”, for children aged 8 to 9, and takes about 20 minutes.

Print it on A4. The child's pages come first; the answers, and what each wrong answer tells you, are on the grown-up page that follows. Week 13 of the year, 5 sheets in the unit.

Free sample · answers on the last page

The 3 and 9 times tables

Name: ____________ · Date: ____________
Year 4 · Maths · about 20 minutes
Answers are on the grown-up page

Today I can explain why every multiple of 9 is also a multiple of 3.

A Look back3 min

1.
Count on in 3s from 9. What comes next? 9,
2.
4 × 6 =
3.
5 groups of 2 make

B Watch me, then you4 min

Watch me

Three groups of 3 make 9.

So 9 is in the 3 times table as well.

Every group of 9 is made of 3 groups of 3.

Now you

1.
3 groups of 9 is the same as groups of 3.

C Your turn6 min

1.
1 group of 9 is the same as groups of 3.
2.
2 groups of 9 is the same as groups of 3.
3.
4 groups of 9 is the same as groups of 3.
4.
5 groups of 9 is the same as groups of 3.

Say it out loud: Each time the groups of 9 grow, how many groups of 3 do we add? Why?

D Spot the mistake3 min

Ali says: “Every multiple of 3 is in the 9 times table, so 6 is too.”

1.
Is 6 in the 9 times table?
yesno

E Think deeper3 min

1.
Write every multiple of 9 from 1 to 40. Is each one also in the 3 times table? Tell your grown-up why.

How did it feel?

I can do it Nearly Not yet

For the grown-up

The 3 and 9 times tables · 2 minutes to read

Answers, and what a wrong one tells you

A

1. 12

2. 24 If your child writes 10, that is 4 + 6. Ask: is this 4 groups of 6, or 4 added to 6?

3. 10

B

1. 9 If your child writes 27, that is the total dots, not the number of groups of 3. Count the groups of 3 in each row.

C

1. 3 If your child writes 9, that is the dots, not the groups of 3. Split the row into threes and count the threes.

2. 6 If your child writes 18, that is 2 × 9, the total. Split each row of 9 into threes and count all the threes.

3. 12 If your child writes 36, that is the total. Count the threes in the four rows instead.

4. 15 If your child writes 45, that is the total. Each row of 9 holds three groups of 3.

D

1. no If your child says yes, count the 9s: 9, 18, 27. Six is not on that list. Six is in the 3s and the 6s, not the 9s.

E

1. 9, 18, 27, 36. Each one is in the 3 times table, because every 9 is three groups of 3. If your child includes numbers that only appear in the 3s, count on in 9s from 9 and check each one.

Words to use

Say“How many groups of 3 fit inside this group of 9?”

Instead of“Just learn the 9s by heart and skip the reasons.”

After the sheet

Lay out 9 coins in three rows of three. Then make 18 and 27 and count the rows of three each time.

Tick what your child got right in StudyDen. Anything missed comes back in a later Look back box, so there's no need to redo the sheet.

The rest of this unit

4 more sheets come with a StudyDen plan, in teaching order:

The 3 and 9 link(with a plan)
Boxes of 3 and 9(with a plan)
Digit sums and divisibility(with a plan)
Groups of 3, 6 and 9(with a plan)

Every Year 4 maths worksheet

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